Scroll:Measurements >> Trapezium >> saq (4467)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

Area of a trapezium is 980 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




2)  

Area of a trapezium is 930 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




3)  

Area of a trapezium is 900 cm2. The parallel sides are 30 cm and 40 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




4)  

Area of a trapezium is 850 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




5)  

Area of a trapezium is 770 cm2. The parallel sides are 40 cm and 40 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




6)  

Area of a trapezium is 850 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




7)  

Area of a trapezium is 940 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




8)  

Area of a trapezium is 820 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




9)  

Area of a trapezium is 960 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




10)  

Area of a trapezium is 760 cm2. The parallel sides are 40 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




 

1)  

Area of a trapezium is 980 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 24.5 cm.


SOLUTION 1 :

Given,

Area of trapezium = 980 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          980 = 12 x h x (30 + 50)

                          980 =  1/ 2 x h x 8040

                          98040 = h    ( dividing by 40, on both the sides )

                           24.5 = h 

Hence, the height of the trapezium is 24.5 cm.

 



2)  

Area of a trapezium is 930 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

Answer: 18.6 cm.


SOLUTION 1 :

Given,

Area of trapezium = 930 cm2

                             a = 40cm, b = 60cm.  h =

Area of trapezium = 12 x h (a+b)

                          930 = 12 x h x (40 + 60)

                          930 =  1/ 2 x h x 10050

                          93050 = h    ( dividing by 50, on both the sides )

                           18.6 = h 

Hence, the height of the trapezium is 18.6 cm.

 



3)  

Area of a trapezium is 900 cm2. The parallel sides are 30 cm and 40 cm. Find the distance between the parallel sides.

Answer: 25.7 cm.


SOLUTION 1 :

Given,

Area of trapezium = 900 cm2

                             a = 30cm, b = 40cm.  h =

Area of trapezium = 12 x h (a+b)

                          900 = 12 x h x (30 + 40)

                          900 =  1/ 2 x h x 7035

                          90035 = h    ( dividing by 35, on both the sides )

                           25.7 = h 

Hence, the height of the trapezium is 25.7 cm.

 



4)  

Area of a trapezium is 850 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

Answer: 17.0 cm.


SOLUTION 1 :

Given,

Area of trapezium = 850 cm2

                             a = 40cm, b = 60cm.  h =

Area of trapezium = 12 x h (a+b)

                          850 = 12 x h x (40 + 60)

                          850 =  1/ 2 x h x 10050

                          85050 = h    ( dividing by 50, on both the sides )

                           17.0 = h 

Hence, the height of the trapezium is 17.0 cm.

 



5)  

Area of a trapezium is 770 cm2. The parallel sides are 40 cm and 40 cm. Find the distance between the parallel sides.

Answer: 19.3 cm.


SOLUTION 1 :

Given,

Area of trapezium = 770 cm2

                             a = 40cm, b = 40cm.  h =

Area of trapezium = 12 x h (a+b)

                          770 = 12 x h x (40 + 40)

                          770 =  1/ 2 x h x 8040

                          77040 = h    ( dividing by 40, on both the sides )

                           19.3 = h 

Hence, the height of the trapezium is 19.3 cm.

 



6)  

Area of a trapezium is 850 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 21.3 cm.


SOLUTION 1 :

Given,

Area of trapezium = 850 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          850 = 12 x h x (30 + 50)

                          850 =  1/ 2 x h x 8040

                          85040 = h    ( dividing by 40, on both the sides )

                           21.3 = h 

Hence, the height of the trapezium is 21.3 cm.

 



7)  

Area of a trapezium is 940 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

Answer: 18.8 cm.


SOLUTION 1 :

Given,

Area of trapezium = 940 cm2

                             a = 40cm, b = 60cm.  h =

Area of trapezium = 12 x h (a+b)

                          940 = 12 x h x (40 + 60)

                          940 =  1/ 2 x h x 10050

                          94050 = h    ( dividing by 50, on both the sides )

                           18.8 = h 

Hence, the height of the trapezium is 18.8 cm.

 



8)  

Area of a trapezium is 820 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

Answer: 16.4 cm.


SOLUTION 1 :

Given,

Area of trapezium = 820 cm2

                             a = 40cm, b = 60cm.  h =

Area of trapezium = 12 x h (a+b)

                          820 = 12 x h x (40 + 60)

                          820 =  1/ 2 x h x 10050

                          82050 = h    ( dividing by 50, on both the sides )

                           16.4 = h 

Hence, the height of the trapezium is 16.4 cm.

 



9)  

Area of a trapezium is 960 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

Answer: 19.2 cm.


SOLUTION 1 :

Given,

Area of trapezium = 960 cm2

                             a = 40cm, b = 60cm.  h =

Area of trapezium = 12 x h (a+b)

                          960 = 12 x h x (40 + 60)

                          960 =  1/ 2 x h x 10050

                          96050 = h    ( dividing by 50, on both the sides )

                           19.2 = h 

Hence, the height of the trapezium is 19.2 cm.

 



10)  

Area of a trapezium is 760 cm2. The parallel sides are 40 cm and 50 cm. Find the distance between the parallel sides.

Answer: 16.9 cm.


SOLUTION 1 :

Given,

Area of trapezium = 760 cm2

                             a = 40cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          760 = 12 x h x (40 + 50)

                          760 =  1/ 2 x h x 9045

                          76045 = h    ( dividing by 45, on both the sides )

                           16.9 = h 

Hence, the height of the trapezium is 16.9 cm.